To determine which statements are true about the area of the parallelogram with a base of 6.1 meters and a height of 3.6 meters, let’s evaluate each statement based on the formula for the area of a parallelogram.
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A parallelogram has a base of 6.1 meters and a height of 3.6 meters.
True – This is a given fact. -
The area can be found by using the formula bh.
True – The area of a parallelogram is given by the formula \( A = b \times h \) (base times height). -
The area can be found by using the formula One-half b h.
False – This formula (One-half \( b \times h \)) is used for the area of a triangle, not a parallelogram. -
The area can be found by using the formula s squared.
False – The formula \( s^2 \) is not applicable for parallelograms in general; it represents the area of a square where \( s \) is the length of one side. -
The expression (6.1)(3.6) can be used to find the area.
True – Using the values of base and height, the expression \( (6.1)(3.6) \) gives the area. -
The expression One-half (6.1) (3.6) can be used to find the area.
False – As previously mentioned, this expression calculates the area of a triangle, not a parallelogram. -
The expression (6.1) squared can be used to find the area.
False – Similar to statement 4, this represents the area of a square, not the area of a parallelogram. -
The area is 10.98 square meters.
False – The area can be calculated as \( 6.1 \times 3.6 = 21.96 \) square meters. -
The area is 21.96 square meters.
True – This is the correct calculation of the area using the base and height.
Summary:
The true statements are:
- A parallelogram has a base of 6.1 meters and a height of 3.6 meters.
- The area can be found by using the formula bh.
- The expression (6.1)(3.6) can be used to find the area.
- The area is 21.96 square meters.